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Mathematics Past Questions

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4,407 questions JAMB 2359 WAEC 1853 NECO 179 POST_UTME 6 CUSTOM 10

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4,407 questions

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Question 721

jamb 2012

The gradient of the straight line joining the points P(5, -7) and Q(-2, -3) is

A\(\frac{1}{2}\)

B\(\frac{2}{5}\)

C\(-\frac{4}{7}\)

D\(-\frac{2}{3}\)

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Question 722

jamb 2012

Calculate the volume of a cuboid of length 0.76cm, breadth 2.6cm and height 0.82cm.

A3.92cm³

B2.13cm³

C1.97cm³

D1.62cm³

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Question 723

jamb 2012

The angles of a polygon are given by x, 2x, 3x, 4x and 5x respectively. Find the value of x.

A24^o

B30^o

C33^o

D36^o

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Question 724

jamb 2012

Given that I₃ is a unit matrix of order 3, find |I₃|

A-1

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Question 725

jamb 2012

If \(\begin{vmatrix} 5 & 3 \\ x & 2 \end{vmatrix}\) = \(\begin{vmatrix} 3 & 5 \\ 4 & 5 \end{vmatrix}\), find the value of x

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Question 726

jamb 2012

The binary operation on the set of real numbers is defined by m*n = \(\frac{mn}{2}\) for all m, n \(\in\) R. If the identity element is 2, find the inverse of -5

A\(-\frac{4}{5}\)

B\(-\frac{2}{5}\)

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Question 727

jamb 2012

The binary operation * is defined on the set of integers such that p * q = pq + p - q. Find 2 * (3 * 4)

A11

B13

C15

D22

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Question 728

jamb 2012

The sum to infinity of a geometric progression is \(-\frac{1}{10}\) and the first term is \(-\frac{1}{8}\). Find the common ratio of the progression.

A\(-\frac{1}{5}\)

B\(-\frac{1}{4}\)

C\(-\frac{1}{3}\)

D\(-\frac{1}{2}\)

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Question 729

jamb 2012

The nth term of a sequence is n² - 6n - 4. Find the sum of the 3rd and 4th terms.

A24

B23

C-24

D-25

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Question 730

jamb 2012

Find the range of values of m which satisfy (m - 3)(m - 4) < 0

A2 < m < 5

B-3 < m < 4

C3 < m < 4

D-4 < m < 3

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Question 731

jamb 2012

The value of y for which \(\frac{1}{5}y + \frac{1}{5} < \frac{1}{2}y + \frac{2}{5}\) is

A\(y > \frac{2}{3}\)

B\(y < \frac{2}{3}\)

C\(y > -\frac{2}{3}\)

D\(y < -\frac{2}{3}\)

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Question 732

jamb 2012

U is inversely proportional to the cube of V and U = 81 when V = 2. Find U when V = 3

A24

B27

C32

D36

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Question 733

jamb 2012

If y varies directly as \(\sqrt{n}\) and y = 4 when n = 4, find y when n = 1\(\frac{7}{9}\)

A\(\sqrt{17}\)

B\(\frac{4}{3}\)

C\(\frac{8}{3}\)

D\(\frac{2}{3}\)

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Question 734

jamb 2012

Solve for x and y in the equations below
x² - y² = 4
x + y = 2

Ax = 0, y = -2

Bx = 0, y = 2

Cx = 2, y = 0

Dx = -2, y = 0

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Question 735

jamb 2012

Find the remainder when 2x³ - 11x² + 8x - 1 is divided by x + 3

A-871

B-781

C-187

D-178

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Question 736

jamb 2012

Make 'n' the subject of the formula if w = \(\frac{v(2 + cn)}{1 - cn}\)

A\(\frac{1}{c}(\frac{w - 2v}{v + w})\)

B\(\frac{1}{c}(\frac{w - 2v}{v - w})\)

C\(\frac{1}{c}(\frac{w + 2v}{v - w})\)

D\(\frac{1}{c}(\frac{w + 2v}{v + w})\)

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Question 737

jamb 2012

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

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Question 738

jamb 2012

If P is a set of all prime factors of 30 and Q is a set of all factors of 18 less than 10, find P \(\cap\) Q

A{3}

B{2,3}

C{2,3,5}

D{1,2}

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Question 739

jamb 2012

Simplify \((\sqrt{6} + 2)^2 - (\sqrt{6} - 2)^2\)

A\(2\sqrt{6}\)

B\(4\sqrt{6}\)

C\(8\sqrt{6}\)

D\(16\sqrt{6}\)

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Question 740

jamb 2012

If log₃x² = -8, what is x?

A\(\frac{1}{3}\)

B\(\frac{1}{9}\)

C\(\frac{1}{27}\)

D\(\frac{1}{81}\)

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